Round your calculations to four decimal places and your answer to knew decimal place.

Mathematics

1 answer:

Setler [38]3 years ago

3 0

Step-by-step explanation:

point or decimal point have 2 space

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Given the triangle below, what is m<br> A. 46.2<br> B. 41.40<br> C. 48.4<br> D. 38.6°

Brrunno [24]

Answer:

B 41.4

Step-by-step explanation:

complete Pythagoras for general triangles :

c² = a² + b² - 2ab×cos(C)

with "c" being the side opposite of the angle C.

8² = 10² + 12² - 2×10×12×cos(C)

64 = 244 - 240×cos(C)

240×cos(C) = 244 - 64 = 180

cos(C) = 180/240 = 18/24 = 3/4 = 0.75

C = 41.40962211... ≈ 41.4

5 0

3 years ago

find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe

NNADVOKAT [17]

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula $M=Z*\frac{\sigma}{\sqrt{n}}$ where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

$M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244$

The formula for a confidence interval is $CI=\bar{x}+M$ where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is: